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Evaluate this sum (Posted on 2005-12-21) Difficulty: 4 of 5
Evaluate this sum in terms of n (the number of terms):
        1      2       4        8          16         
   S = --- + ----- + ----- + ------- + ---------- + ..... 
        2      5       41     3,281    21,523,361              

See The Solution Submitted by pcbouhid    
Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts ideas | Comment 1 of 14

The numerators are powers of 2.  The denominators are just large enough to prevent the total from reaching 1.

I don't know if in every instance there will be a denominator that would make the total exactly 1.  If there is, then that would simplify finding the answer.


  Posted by Charlie on 2005-12-21 12:17:26
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